7th Class Mathematics for Telugu and English Medium Students. TS / AP State Syllabus.
రేఖలు కోణములు - 7 వ తరగతి గణితం – అధ్యాయం - 4 , అభ్యాసం - 2
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Exercise – 1: • 4 Lines And Angles - రేఖలు కోణములు | Exerc...
Exercise – 2 : • 4 Lines And Angles - రేఖలు కోణములు | Exer...
Exercise – 3 : • 4 Lines And Angles - రేఖలు కోణములు | Exerc...
Exercise – 4 : • 4 Lines And Angles - రేఖలు కోణములు | Exerc...
Exercise – 5 : • 4 Lines and Angles - రేఖలు కోణములు | Exerc...
Exercise – 6 : • 4 Lines and Angles - రేఖలు కోణములు | Exerc...
Exercise – 7 : • 4 Lines and Angles - రేఖలు - కోణములు | Exe...
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In This Chapter :
Learning about Pairs of Angles ,
What are Complementary Angles ,
What is Supplementary Angles ,
What are Adjacent Angles ,
What is Linear Pair ,
What are Vertically Opposite Angles,
What is Transversal,
What Angles made by a transversal,
What are Corresponding Angles,
What is Interior and Exterior Alternate Angles,
Interior Angles on the same side of the transversal,
What is Transversal on parallel lines,
Lines And Angles For all competitive exams,
Lines And Angles Text Books Solutions,
Lines And Angles text book questions and answers,
7th class Lines And Angles Important notes,
7th class math’s important question and answers,
Class 7th Maths Chapter 4 Lines And Angles ,
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Notes :
1. i) If the sum of two angles is equal to 90o , then the angles are called complementary angles.
(ii)Each angle in a pair of complementary angles is acute.
2. (i) If the sum of two angles is equal to 180o , then the angles are called supplementary angles. (ii)Each angle in a pair of supplementary angles may be either acute or right or obtuse. (iii)Two right angles always supplement to each other.
3. The angles formed on both sides of a common arm and a common vertex are adjacent angles.
4. A pair of complementary angles or a pair of supplementary angles need not be adjacent angles.
5. A pair of angles that are adjacent and supplementary form a linear pair.
6. (i) When two lines intersect each other at a point (vertex), the angles formed opposite to each other are called vertically opposite angles.
(ii)A pair of vertically opposite angles are always equal in measure
7. (i) A line which intersects two or more lines at distinct points is called a transversal to the lines.
(ii) A transversal makes eight angles with two lines as shown in the adjacent figure.
(ii) A transversal makes eight angles with two lines as shown in the adjacent figure.
S.No. Types of angles No.of Angles Pairs
1. Interior angles —- ∠3, ∠4, ∠5, ∠6
2. Exterior angles —- ∠1, ∠2, ∠7, ∠8
3. Vertically opposite angles 4 pairs (∠1, ∠3) ; (∠4, ∠2 ); (∠5, ∠7) ; (∠8, ∠6)
4. Corresponding angles 4 pairs (∠1, ∠5) ; (∠2, ∠6 ); (∠4, ∠8) ; (∠5, ∠7)
5. Alternate interior angles 2 pairs (∠3, ∠5); (∠4, ∠6)
6. Alternate exterior angles 2 pairs (∠1, ∠7) ; (∠2, ∠8)
7. Interior angles on the 2 pairs (∠3, ∠6) ; (∠4, ∠5) same side of transversal
8. When a transversal intersects a pair of parallel lines, the angles in
(i) Each pair of corresponding angles are equal.
(ii) Each pair of alternate interior angles are equal.
(iii) Each pair of alternate exterior angles are equal.
(iv) Each pair of interior angles on the same side of the transversal are supplementary.
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